Commutants and cyclic vectors
Authors:
James A. Deddens, Ralph Gellar and Domingo A. Herrero
Journal:
Proc. Amer. Math. Soc. 43 (1974), 169-170
MSC:
Primary 47A65
DOI:
https://doi.org/10.1090/S0002-9939-1974-0328643-9
MathSciNet review:
0328643
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Abstract | References | Similar Articles | Additional Information
Abstract: This note analyzes the relationship between various statements concerning the commutant of a bounded linear operator on a Hilbert space and the existence of cyclic vectors for the operator and its adjoint.
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- [6] Domingo A. Herrero, Eigenvectors and cyclic vectors for bilateral weighted shifts, Rev. Un. Mat. Argentina 26 (1972/73), 24–41. MR 336395
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0328643-9
Keywords:
Commutant,
cyclic vectors,
weighted shift
Article copyright:
© Copyright 1974
American Mathematical Society